Question

The town of Madison has a population of 25{,}00025,00025, comma, 000. The population is increasing by a factor of 1.121.121, point, 12 each year. Write a function that gives the population P(t)P(t)P, left parenthesis, t, right parenthesis in Madison t years from now.

Answer 1

`P(t)=25,000(1.12)^t`

Explanation:

we know that

The equation of a exponential growth function is given by

`P(t)=a(b)^t`

where

P(t) is the population in Madison

t is the number of years

a is the initial value

b is the factor of growth

we have

`a=25,000\ people\\b=1.12`

substitute

`P(t)=25,000(1.12)^t`